Haonan Zhang

activity

20232026

most citedBohnenblust--Hille inequality for cyclic groups

3 citations · 3 across the 7 of their papers we have counts for

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Showing 2023Show all

3 papers · 1 filter

math.CA2023

A dimension-free discrete Remez-type inequality on the polytorus

Joseph Slote, Alexander Volberg, Haonan Zhang

Consider $f : Ω_{K}^{n} \to C$ a function from the $n$ -fold product of multiplicative cyclic groups of order $K$ . Any such $f$ may be extended via its Fourier expansion to an an…

math.FA2023★ 3 cited

Bohnenblust--Hille inequality for cyclic groups

Joseph Slote, Alexander Volberg, Haonan Zhang

For any $K > 2$ and the multiplicative cyclic group $Ω_{K}$ of order $K$ , consider any function $f : Ω_{K}^{n} \to C$ and its Fourier expansion $f(z)=\sum_{α\in\{0,1,\ldots,K-1\}^n}a_…

math.AP2023

Quantum and classical low-degree learning via a dimension-free Remez inequality

Ohad Klein, Joseph Slote, Alexander Volberg +1

Recent efforts in Analysis of Boolean Functions aim to extend core results to new spaces, including to the slice $(k [ n ])$ , the hypergrid $[K]^{n}$ , and noncommutative spaces…